DAMAGE SPREADING AND OPINION DYNAMICS ON SMALL-WORLD NETWORKS WITH ASYMMETRIC INFLUENTIAL EFFECTS

Jian-Yue Guan, Zhi-Xi Wu and Ying-Hai Wang ()
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Jian-Yue Guan: Institute of Theoretical Physics, Lanzhou University, Lanzhou, Gansu 730000, China
Zhi-Xi Wu: Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, P. R. China
Ying-Hai Wang: Institute of Theoretical Physics, Lanzhou University, Lanzhou, Gansu 730000, China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 07, 1027-1034

Abstract: We study the asymmetric influential effects in the damage spreading processes, by investigating the opinion dynamics of the Krause–Hegselmann consensus model, wherein the agents sit on the nodes of small-world networks. One agent is randomly selected as the influential agent, which can influence the opinions of other agents with probabilitypbut not vice versa. The damage consists in a sharp change of the opinion of one agent (a randomly selected agent or the influential one) in the initial random opinion configuration. We find that for small values of the influential probabilityp, there is a damage spreading transition at low values of the confidence bound parameter ε. Interestingly, this transition vanishes for large values ofpwhen the influential agent is damaged in the initial state. We find as well that, there is a critical value of the confidence bound parameter above which the initial perturbation manages to propagate to the whole system. The relationship between the amount of the damage and the influential activity of the perturbed agent is also discussed.

Keywords: Opinion dynamics; damage spreading; asymmetric influence; small-world networks; 87.23.Ge; 89.75.Hc (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S012918310801273X

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